Primality proof for n = 3258667:

Take b = 2.

b^(n-1) mod n = 1.

673 is prime.
b^((n-1)/673)-1 mod n = 1168941, which is a unit, inverse 2846429.

269 is prime.
b^((n-1)/269)-1 mod n = 385173, which is a unit, inverse 661060.

(269 * 673) divides n-1.

(269 * 673)^2 > n.

n is prime by Pocklington's theorem.